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3 years ago

Question Help

Mathematics

1 answer:

lana [24]3 years ago

4 0

B I’m pretty sure I think or 826

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3 years ago

Please, I need help!

Nikitich [7]

1. in 1 tree, he will get 13 apples

2. yes there is a proportional relationship in the data because there are 13 apples per tree

3. y=13x (y represents the total of apples he can get in the number of trees he picked. x represents the number of trees)

4. if there were 25 trees, he would have picked 325 apples because

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3 years ago

Let a1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 1 EndMatrix ], a2equals[

Zolol [24]

Answer:

For h= 25, b in the plane spanned by a1 and a2

Step-by-step explanation:

$a1= \left[\begin{array}{c}1\\2\\-1\end{array}\right] \\a2 = \left[\begin{array}{c}-7\\-7\\2\end{array}\right] \\\\b = \left[\begin{array}{c}3\\-22\\h\end{array}\right]$

we have to find value of h for which b in the plane spanned by a1 and a2.

For this the linear systems given by the following augmented matrix must be consistent.

$\left[\begin{array}{cc|c}1&-7&3\\2&-7&-22\\-1&2&h\end{array}\right]$

Reduce the augmented matrix into row echelon form:

$R_{2} - 2R_{1} , R_{3} + R_{1}\\\\\left[\begin{array}{cc|c}1&-7&3\\0&7&-28\\-0&-5&h+3\end{array}\right]\\\\7R_{3}+5R_{2}\\\\\left[\begin{array}{cc|c}1&-7&3\\0&7&-28\\-0&0&7h-175\end{array}\right]$

For system to be consistent:

$7h-175 =0\\7h=175\\h=25$

6 0

3 years ago